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142107747840 = 29345685319
BaseRepresentation
bin1000010001011001001…
…0000010011000000000
3111120210201210120020000
42010112102002120000
54312014040412330
6145141114120000
713160363632512
oct2042622023000
9446721716200
10142107747840
11552a4134303
122365b720000
1310529463576
146c41533bb2
153a6acb9560
hex2116482600

142107747840 has 200 divisors, whose sum is σ = 508985793360. Its totient is φ = 37895344128.

The previous prime is 142107747827. The next prime is 142107747893. The reversal of 142107747840 is 48747701241.

It is a super-2 number, since 2×1421077478402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 135300 + ... + 550019.

Almost surely, 2142107747840 is an apocalyptic number.

142107747840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142107747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254492896680).

142107747840 is an abundant number, since it is smaller than the sum of its proper divisors (366878045520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142107747840 is an frugal number, since it uses more digits than its factorization.

142107747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685354 (or 685329 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 142107747840 in words is "one hundred forty-two billion, one hundred seven million, seven hundred forty-seven thousand, eight hundred forty".